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Finding the Fourth Proportional to 6,305.14, 9,451.14 and 3,527.74

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Solution

The fourth proportional to 6,305.14, 9,451.14 and 3,527.74 is: 5,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.14 : 9,451.14 = 3,527.74 : x
  2. Step 2: Convert to fraction form
    6,305.14/9,451.14 = 3,527.74/x
  3. Step 3: Cross multiply
    6,305.14x = 9,451.14 × 3,527.74
  4. Step 4: Simplify right side
    6,305.14x = 33,341,164.62
  5. Step 5: Solve for x
    x = 33,341,164.62/6,305.14
  6. Step 6: Final answer
    x = 5,287.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.